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0. BACKGROUND/OVERVIEW
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PROJECT FOR ALGEBRA AND NUMBER THEORY
COURSE FOR PRE-SERVICE TEACHERS
- Ideal for discovery learning
- Students work in groups and individually
- Uses Derive and custom programs
- Students write up results in a paper
FOUR DIVERSE PROBLEMS
- Each generates interesting questions and conjectures
- 3 of the 4 are elementary
- Surprising connections to the main problem
- Some questions remain open
THE PROBLEMS
1 CAROUSEL NUMBERS (the appetizer problem)
2 PERIODS OF DECIMALS (the main problem)
3 NINE NUMBERS & ONE NUMBERS (useful aside)
4 GROUP OF UNITS MOD N (final battleground)